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49=34-2\times 5\times 3a
Add 9 and 25 to get 34.
49=34-10\times 3a
Multiply 2 and 5 to get 10.
49=34-30a
Multiply 10 and 3 to get 30.
34-30a=49
Swap sides so that all variable terms are on the left hand side.
-30a=49-34
Subtract 34 from both sides.
-30a=15
Subtract 34 from 49 to get 15.
a=\frac{15}{-30}
Divide both sides by -30.
a=-\frac{1}{2}
Reduce the fraction \frac{15}{-30} to lowest terms by extracting and canceling out 15.